Information sharing networks in linear quadratic games

SynopsisIn [13], Nikaido and Isoda generalised von Neumann's symmetrisation method for matrix games. They showed that N-person noncooperative games can be treated by a minimax method.We apply this method to N-person differential games. Lukes and Russell [11] first studied N-person nonzero sum linear quadratic games in 1971. Here we have reproduced and strengthened their results. The existence and uniqueness of equilibria are completely determined by the invertibility of the decision operator, and the nonuniqueness of equilibrium strategies is only up to a finite dimensional subspace of the space of all admissible strategies.In the constrained case, we have established an existence result for games with a much weaker convexity assumption subject to compact convex constraints. We have also derived certain results for games with noncompact constraints. Several examples of quadratic and non-quadratic games are given to illustrate the theorem.Numerical computations are also possible and are given in the sequel [3].

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A counterexample in linear-quadratic games: Existence of nonlinear nash solutions

Journal of Optimization Theory and Applications ◽

10.1007/bf00933308 ◽

1974 ◽

Vol 14 (4) ◽

pp. 425-430 ◽

Cited By ~ 64

Author(s):

T. Basar

Keyword(s):

Linear Quadratic ◽

Linear Quadratic Games

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ON THE STABILITY OF THE BEST REPLY MAP FOR NONCOOPERATIVE DIFFERENTIAL GAMES

Analysis and Applications ◽

10.1142/s0219530512500066 ◽

2012 ◽

Vol 10 (02) ◽

pp. 113-132 ◽

Cited By ~ 1

Author(s):

ALBERTO BRESSAN ◽

ZIPENG WANG

Keyword(s):

Present Note ◽

Nonlinear Perturbations ◽

Linear Quadratic ◽

Infinite Time ◽

Feedback Controls ◽

Affine Functions ◽

The Stability ◽

Discounted Costs ◽

Noncooperative Differential Games ◽

Linear Quadratic Games

Consider a differential game for two players in infinite time horizon, with exponentially discounted costs. A pair of feedback controls [Formula: see text] is Nash equilibrium solution if [Formula: see text] is the best strategy for Player 1 in reply to [Formula: see text], and [Formula: see text] is the best strategy for Player 2, in reply to [Formula: see text]. The aim of the present note is to investigate the stability of the best reply map: [Formula: see text]. For linear-quadratic games, we derive a condition which yields asymptotic stability, within the class of feedbacks which are affine functions of the state x ∈ ℝn. An example shows that stability is lost, as soon as nonlinear perturbations are considered.

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An exploratory survey of the applications of telemedicine in Ghana

Journal of Telemedicine and Telecare ◽

10.1258/1357633001935185 ◽

2000 ◽

Vol 6 (3) ◽

pp. 177-183 ◽

Cited By ~ 10

Author(s):

Osei Darkwa

Keyword(s):

Information Technology ◽

Information Sharing ◽

Access To Health Care ◽

Urban Hospital ◽

Major Barrier ◽

Technology Products ◽

Medical Institutions ◽

Access To Health ◽

Computer Literate ◽

Information Sharing Networks

We examined the use of telemedicine at two major medical institutions in Ghana. Doctors and administrators were surveyed to assess their knowledge of computers and familiarity with telemedicine. The use of modern telecommunications and information technology products within the health service was also examined. Thirty questionnaires were distributed to staff at the two hospitals, one urban and one rural. Twenty were returned (a response rate of 67%). Although most of the respondents were computer literate, they were less familiar with telemedicine applications. Only a minority of the respondents were participating in an information-sharing network, transmitting information by fax or telephone, or had Internet access. Financial constraint appeared to be the major barrier to establishing information-sharing networks. Other constraints were technological and organizational. The respondents expressed an interest in using telemedicine, having access to health-care databases and specific telemedicine applications such as tele-education and videoconferencing. Staff in the urban hospital were more likely to be familiar with telemedicine and more likely to have access to information technology than those in the rural hospital.

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